Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
A store buys
77
1
2
pounds of mulch in a large shipment. They divide the mulch up into bags that can each hold
2
1
4
pounds. The store sells one bag of mulch for $2.25. For each part of the question, show your work.
a. How many full bags of mulch will the store make?
b. Considering only the full bags, what is the total sales price of all of the bags of mulch?
do you mean 77 1/2 ?
each can hold 2 1/4 ?
77 2/4 / 2 1/4 = 310 /4 / 9/4 = 310/9 = 34 4/9
so 34 full ones
34 * 2.25 = $ 76.50
that vertical text is no annoying!
(a) 77 1/2 lbs * 1bag/2 1/4 lbs = 155/2 * 4/9 = 43.05 bags
(b) Your turn to do some of the work
(oops) my bad - go with Anonymous.
plz help meeee :3
To find the number of full bags of mulch and the total sales price, we can follow these steps:
a. To find the number of full bags of mulch, we divide the total weight of the mulch by the weight of each bag.
Total weight of mulch = 77 1/2 pounds
Weight of each bag = 21/4 pounds
To divide fractions, we multiply the numerator of the first fraction by the reciprocal of the second fraction:
Number of full bags = (77 1/2 pounds) / (21/4 pounds)
= (155/2 pounds) / (21/4 pounds)
= (155/2 pounds) * (4/21 pounds)
= (620/2 pounds) / 21 pounds
= 310/21 bags
Therefore, the store will make 310/21 full bags of mulch.
b. To find the total sales price of all the full bags, we multiply the number of full bags by the selling price of each bag.
Number of full bags = 310/21 bags
Selling price of each bag = $2.25
Total sales price = (310/21 bags) * ($2.25/bag)
= (310/21) * 2.25 dollars
= (310 * 2.25) / 21 dollars
= 6975/21 dollars
= $332.14 (rounded to two decimal places)
Therefore, the total sales price of all the full bags of mulch is approximately $332.14.